Question

C. In each of the following, y varies directly as x. Find the values as indicated.

1.If y=8 when x =24, find y when x=6
2.If y= -8 when x=9, find y when x=11

D. Solve the following problems:

1.In a 100 kilometer trip, Jojo uses 12 liters of gasoline will he use on a trip of 350 kilometers?

2.Mutya sold 2 baskets of avocado at Php30.00 per kg. If a basket contains 5½kg, how much did mutya earn?


(need solution) pa help po​

Answer 1

Step-by-step explanation:

y varies directly as x

Therefore,

y = kx

1) y = 8

x = 24

y = kx

8 = 24k

8 = k

24

k = 1

3

when x = 6

y = kx

y = 1 x 6

3

y = 2

2) y = -8

x = 9

y = kx

-8 = 9k

-8 = k

9

when x = 11,

y = kx

y = -8 x 11

9

y = -88

9

D)

1) Gasoline used and kilometer travelled varies directly

Let kilometer travelled be denoted by y and gasoline used be denoted by x

y = kx

100 = k x 12

100 = k

12

k = 25

3

y = kx

350 = 25x

3

x = 350 x 3

25

x = 14 x 3

x = 42

42 liters of gasoline will be used on a trip of 350 kilometres

2) One basket contains 5 1/2 kg of avocado

Therefore two basket contains 11 kg of avocado

Selling price of 1 kg of avocado = Rs 30

Therefore selling price of 11 kg of avocado = 11 x 30

= 330 Rs

Mutya earned 330 Rs